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Petko D. Proinov
Petko D. Proinov
Professor of Mathematical Analysis, University of Plovdiv "Paisii Hilendarski"
Verified email at uni-plovdiv.bg
Title
Cited by
Cited by
Year
New general convergence theory for iterative processes and its applications to Newton–Kantorovich type theorems
PD Proinov
Journal of Complexity 26 (1), 3-42, 2010
2442010
General local convergence theory for a class of iterative processes and its applications to Newton’s method
PD Proinov
Journal of Complexity 25 (1), 38-62, 2009
1492009
Fixed point theorems for generalized contractive mappings in metric spaces
PD Proinov
Journal of Fixed Point Theory and Applications 22 (1), 21, 2020
872020
A generalization of the Banach contraction principle with high order of convergence of successive approximations
PD Proinov
Nonlinear Analysis: Theory, Methods & Applications 67 (8), 2361-2369, 2007
862007
Fixed point theorems in metric spaces
PD Proinov
Nonlinear Analysis: Theory, Methods & Applications 64 (3), 546-557, 2006
672006
A unified theory of cone metric spaces and its applications to the fixed point theory
PD Proinov
Fixed Point Theory and Applications 2013 (103), 1-38, 2013
642013
General convergence theorems for iterative processes and applications to the Weierstrass root-finding method
PD Proinov
Journal of Complexity 33, 118-144, 2016
512016
On irregularities of distribution
PD Proinov
C. R. Acad. Bulg. Sci. 39 (9), 31-34, 1986
491986
On the convergence of high-order Ehrlich-type iterative methods for approximating all zeros of a polynomial simultaneously
PD Proinov, MT Vasileva
Journal of Inequalities and Applications 2015 (336), 1-25, 2015
472015
Discrepancy and integration of continuous functions
PD Proinov
Journal of approximation theory 52 (2), 121-131, 1988
461988
Relationships between different types of initial conditions for simultaneous root finding methods
PD Proinov
Applied Mathematics Letters 52, 102-111, 2016
452016
Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros
PD Proinov, SI Ivanov
Journal of Computational and Applied Mathematics 357, 56-70, 2019
382019
Semilocal convergence of Chebyshev-like root-finding method for simultaneous approximation of polynomial zeros
PD Proinov, SI Cholakov
Applied Mathematics and Computation 236, 669-682, 2014
382014
On a family of Weierstrass-type root-finding methods with accelerated convergence
PD Proinov, MT Vasileva
Applied Mathematics and Computation 273, 957-968, 2016
312016
On the local convergence of Ehrlich method for numerical computation of polynomial zeros
PD Proinov
Calcolo 53 (3), 413-426, 2016
302016
Symmetrization of the van der Corput generalized sequences
PD Proinov
Proceedings of the Japan Academy, Ser. A, Math. Sc. 64 (5), 159-162, 1988
301988
On the convergence of Halley’s method for simultaneous computation of polynomial zeros
PD Proinov, SI Ivanov
Journal of Numerical Mathematics 23 (4), 379-394, 2015
272015
A new semilocal convergence theorem for the Weierstrass method for finding zeros of a polynomial simultaneously
PD Proinov, MD Petkova
Journal of complexity 30 (3), 366-380, 2014
272014
On the diaphony of the van der Corput-Halton sequence
PD Proinov, VS Grozdanov
Journal of Number Theory 30 (1), 94-104, 1988
261988
A new semilocal convergence theorem for the Weierstrass method from data at one point
PD Proinov
C. R. Acad. Bulg. Sci. 59 (2), 131-136, 2007
252007
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